Direct Materials, Direct Labor, and Factory Overhead Cost Variance Analysis Mack

Question

Direct Materials, Direct Labor, and Factory Overhead Cost Variance Analysis

Mackinaw Inc. processes a base chemical into plastic. Standard costs and actual costs for direct materials, direct labor, and factory overhead incurred for the manufacture of 6,400 units of product were as follows:

Each unit requires 0.25 hour of direct labor.

Required:

a. Determine the direct materials price variance, direct materials quantity variance, and total direct materials cost variance. Enter a favorable variance as a negative number using a minus sign and an unfavorable variance as a positive number.

b. Determine the direct labor rate variance, direct labor time variance, and total direct labor cost variance. Enter a favorable variance as a negative number using a minus sign and an unfavorable variance as a positive number.

c. Determine variable factory overhead controllable variance, the fixed factory overhead volume variance, and total factory overhead cost variance. Enter a favorable variance as a negative number using a minus sign and an unfavorable variance as a positive number.

Standard Costs Actual Costs Direct materials 8,300 lb. at $6.00 8,200 lb. at $5.80 Direct labor 1,600 hrs. at $18.70 1,640 hrs. at $19.00 Factory overhead Rates per direct labor hr., based on 100% of normal capacity of 1,670 direct labor hrs.: Variable cost, $4.70 $7,440 variable cost Fixed cost, $7.40 $12,358 fixed cost

Explanation / Answer

Solution a:

Standard quantity of direct material = 8300 lb.

Actual quantity of direct material = 8200 lb.

Standard price of material = $6

Actual price of material = $5.80

Direct material price variance = (SP - AP) * AQ = ($6 - $5.80) * 8200 = $1,640 F

Direct material quantity variance = (SQ - AQ) * SP = (8300 - 8200) * $6 = $600 F

Solution b:

Standard rate of direct labor = $18.70

Actual rate of direct labor = $19

Standard hours of direct labor = 1600 hrs

Actual hours of direct labor = 1640 hrs

Direct labor rate variance = (SR - AR) * AH = ($18.70 - $19) * 1640 = $492 U

Direct labor efficiency variance = (SH - AH) * SR = (1600 - 1640) * $18.70 = $748 U

Solution c:

Variable factory overhead controllable variance = Standard variable overhead cost - Actual variable overhead cost

= 1600 * $4.70 - $7,440 = $80 F

Fixed factory overhead variance = Applied overhead - Actual overhead = 1600 * $7.40 - $12,358 = $518 U

Total factory overhead cost variance = Variable overhead cost variance + fixed factory overhead variance

= $80 F + $518 U = $438 U

=

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